Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
600 conjugacy classes of subgroups; only the 349 normal subgroups are shown.
This group has 600 conjugacy classes of subgroups — too many to draw. Only its 349 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. C2×#13133150 | C2 | direct (N × H) |
| 6. C22×#88322 | C4 | semidirect |
| 10. #13133150 | C22 | direct (N × H) |
| 28. C2×#88322 | C2×C4 | semidirect |
| 43. #88322 | C22×C4 | semidirect |
| 44. C22×C53 | #107 | semidirect |
| 55. C2×C53 | C2×#107 | semidirect |
| 63. C53 | C22×#107 | semidirect |
| 103. C22 | #13133150 | direct (N × H) |
| 113. C2 | C2×#13133150 | direct (N × H) |